\newproblem{lay:2_8_2}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 2.8.2}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
  Given the set $H$ represented below (bold lines imply that those points belong to $H$)
	\begin{center}
		\includegraphics[scale=0.5]{Tema3/lay_2_8_2.jpg}
	\end{center}
	Give a specific reason of why the set is not a subspace of $\mathbb{R}^2$
}{
  % Solution
	For instance $\mathbf{x}_1=(-1,1)$ and $\mathbf{x}_2=(2,0)$ belong to $H$, but $\mathbf{x}_1+\mathbf{x}_2=(1,1)$ does not.
}
\useproblem{lay:2_8_2}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
